An attempt at a Barbarian

Name: Meee Angor
Race: Half Orc
Class: Barbarian

Stats:
10 -> 17 (13)
10 -> 16 (10)
10 -> 12 (2)

Str: 22 (17 + 1 level + 2 race + 2 item)
Dex: 12
Con: 16
Int: 10
Wis: 10
Cha: 10

Class Powers:
Rage (+2 hit, +2 damage)
Animal Fury (bite attack at -5 hit, 1d4 + half strength)
Lesser Fiend Totem (gore attack at -5 hit, 1d8 + half strength)
+1 other defensive power

Feats:
L1 Power Attack (-2 hit, +6 damage)
L3 Weapon Focus: Greataxe or Falchion (+1 hit)
L5 Furious Focus (ignore power attack penalty on main attack)

Traits:
Killer (+ damage on crit)
Heirloom Weapon (+1 hit)

Gear:
+2 strength item (4000)
+2 weapon (8000)
Some +1 armor

To hit:
+6 BAB
+6 Str
+2 rage
-2 power attack (except on the first attack)
+1 heirloom
+1 weapon focus
+2 magic weapon = +18/+11/+7/+7

Weapon damage:
+9 str
+3 rage
+6 power attack
+2 magic weapon = +20 (plus conditional crit damage)

Secondary damage:
+3 str
+1 rage
+2 power attack = +6 (plus conditional crit damage)

Math against AC 20:

Full round attack (power attack):
Greataxe:
+18 (1d12+20) = .90*26.5 + .05*(.95*82.5 + .05*26.5) = 27.835
+11 (1d12+20) = .55*26.5 + .05*(.60*82.5 + .40*26.5) = 17.58
+7 (1d8+6) = .35*10.5 + .05*(.40*23 + .60*10.5) = 4.45
+7 (1d4+6) = .35*8.5 + .05*(.40*19 + .60*8.5) = 3.61 == 53.475 DPR

Falchion:
+18 (2d4+20) = .80*25 + .15*(.95*52 + .05*25) = 27.5975
+11 (2d4+20) = .45*25 + .15*(.60*52 + .40*25) = 17.43
+7 (1d8+6) = .35*10.5 + .05*(.40*23 + .60*10.5) = 4.45

+7 (1d4+6) = .35*8.5 + .05*(.40*19 + .60*8.5) = 3.61 == 53.0875 DPR

Surprised at how close the two weapons are, though this could change at slightly higher levels with different feats and abilities.  Anyway, 5pm time.